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Simplifying 4(3x + -7) + 58 = -6(x + -7) + 14x + -8 Reorder the terms: 4(-7 + 3x) + 58 = -6(x + -7) + 14x + -8 (-7 * 4 + 3x * 4) + 58 = -6(x + -7) + 14x + -8 (-28 + 12x) + 58 = -6(x + -7) + 14x + -8 Reorder the terms: -28 + 58 + 12x = -6(x + -7) + 14x + -8 Combine like terms: -28 + 58 = 30 30 + 12x = -6(x + -7) + 14x + -8 Reorder the terms: 30 + 12x = -6(-7 + x) + 14x + -8 30 + 12x = (-7 * -6 + x * -6) + 14x + -8 30 + 12x = (42 + -6x) + 14x + -8 Reorder the terms: 30 + 12x = 42 + -8 + -6x + 14x Combine like terms: 42 + -8 = 34 30 + 12x = 34 + -6x + 14x Combine like terms: -6x + 14x = 8x 30 + 12x = 34 + 8x Solving 30 + 12x = 34 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 30 + 12x + -8x = 34 + 8x + -8x Combine like terms: 12x + -8x = 4x 30 + 4x = 34 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + 4x = 34 + 0 30 + 4x = 34 Add '-30' to each side of the equation. 30 + -30 + 4x = 34 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 34 + -30 4x = 34 + -30 Combine like terms: 34 + -30 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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